2011121120 has 48 divisors (see below), whose sum is σ = 5001348240. Its totient is φ = 762107904.

The previous prime is 2011121113. The next prime is 2011121129. The reversal of 2011121120 is 211211102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011121129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327737 + ... + 333816.

It is an arithmetic number, because the mean of its divisors is an integer number (104194755).

Almost surely, 2^2011121120 is an apocalyptic number.

2011121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011121120 is an abundant number, since it is smaller than the sum of its proper divisors (2990227120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2011121120 is a wasteful number, since it uses less digits than its factorization.

2011121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661587 (or 661579 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2011121120 is about 44845.5250833347. The cubic root of 2011121120 is about 1262.2520235769.

Adding to 2011121120 its reverse (211211102), we get a palindrome (2222332222).

The spelling of 2011121120 in words is "two billion, eleven million, one hundred twenty-one thousand, one hundred twenty".